661^5
Solve it..........
Answers
\(661 ^{5} \\ = 661 \times 661 \times 661 \times 661 \times 661 \\ = \boxed{ 126,184,873,719,301}\)
Answer:
719,301
Step-by-step explanation:
Cause i know
Related Questions
if y= x+3/6-x, what is the value of y when x =7i?
Answers
Look for factors that will help you determine what type of economy exists in Country A.
Based on the clues in this passage, what type of economy does Country A have?
developed
developing
transitioning
command
Answers
developing:
a low GDP
an economy based on agriculture
Based on the limited information provided, it is not possible to definitively determine the type of economy in Country A. More specific details and factors would be necessary to make a conclusive determination.
1. Find the m
2. Determine the length of side AB.
3. What are the sine and cosine ratios for angles A and B?
sin
cos
sin
cos
4. What do you notice about the sine of angle A and cosine angle B?
5. What do you notice about the cosine of angle A and the sine of angle B?
6. Add up angles A and B. What do they equal?
7. Given the information you obtained in numbers 1-5, determine the kissing angles in A-D below.
a. sin40 degrees=cos
b. cos27 degrees= sin
c. sin90 degrees = cos
d. cos65 degrees = sin
Answers
Step-by-step explanation:
remember, the sum of all angles in a triangle is always 180°.
1. you mean find the angle at A, yes ?
180 = angle A + angle B + angle C =
= angle A + 38 + 90
angle A = 180 - 38 - 90 = 90 - 38 = 52°
2. Pythagoras
AB² = 11² + 8.5² = 121 + 72.25 = 193.25
AB = 13.90143877... in
3. sine/cosine ratio is tangent.
sin(38) × AB = 8.5 in
cos(38) × AB = 11 in
sin(38)/cos(38) = tan(38) = 8.5/11 = 0.772727272...
sin(52) × AB = 11 in
cos(52) × AB = 8.5 in
sin(52)/cos(52) = tan(52) = 11/8.5 = 1.294117647...
4. they are equal. as sin(x) = cos(90-x).
5. they are equal. as cos(x) = sin(90-x).
6. 90°. again, the sum of all angles must be 180°. so, when one angle is all by itself already 90°, then there are only 90° left for the other 2 angles.
7. not sure what you mean by "kissing angles" but
a. sin(40°) = cos(90-40) = cos(50°) = 0.64278761...
b. cos(27°) = sin(90-27) = sin(63°) = 0.891006524...
c. sin(90°) = cos(90-90) = cos(0°) = 1
d. cos(65°) = sin(90 - 65) = sin(25°) = 0.422618262...
A circle of sunflowers is planted in Stanford's central Park. The circle has a diameter of 12 feet. What is the circle's radius?
Answers
Answer:
Step-by-step explanation:
radius = ½×diameter = 6 ft
Could someone help me define each word please?
Answers
Answer:
.
Step-by-step explanation:
.
Answer:
Ok!
Step-by-step explanation:
Religion: the belief and worship in what is usually a god
Bones: pieces of hard whitish tissiue in a skeloton
Agriculture: the practice of farming
Artifacts: historical objects
multiply or divide as indicated. be sure to reduce all answers to lowest terms. ( the numerator and denominator of the answer should not have any factors in common)
Answers
we have the expression
\(\frac{3a^2+3a}{a^2-36}\cdot\frac{a^2-6a}{12a}\)Simplify
we have that
a^2-36=(a+6)(a-6)
3a^2+3a=3a(a+1)
a^2-6a=a(a-6)
substitute in the given expression
\(\frac{3a(a+1)}{(a+6)(a-6)}\cdot\frac{a(a-6)}{12a}\)Simplify
\(\frac{(a+1)}{(a+6)}\cdot\frac{a}{4}\)therefore
the answer is
\(\frac{(a^2+a)}{(4a+24)}\)There are 25 hamburgers and 20 hot dogs left over from a party. Tim said it was a 5:4 ratio, Hamburg's to hot dogs. Is he correct ?
Answers
Answer:
yes
Step-by-step explanation:
Because a ratio of 20 to 25 simply means that for every 20 of something, there are 25 of something else, with a total of 45.
The greatest number of elements possible in
Answers
Answer:
4
9
Step-by-step explanation:
If X has 5 elements, and Y has 4 elements, and all 4 of Y's elements are the same as 4 of X's elements, then the intersection of the sets has 4 elements.
If X has 5 elements and Y has 4 elements, and they are all different, then the union of the sets has 9 elements.
Answer:
4
9
Assume that a sample is used to estimate a population mean μ
. Find the margin of error M.E. that corresponds to a sample of size 22 with a mean of 69.3 and a standard deviation of 8.6 at a confidence level of 95%.
Report ME accurate to one decimal place because the sample statistics are presented with this accuracy.
M.E. =
Answer should be obtained without any preliminary rounding. However, the critical value may be rounded to 3 decimal places.
Answers
The margin error M.E. that corresponds to a sample of size 22 with a mean of 69.3 and a standard deviation of 8.6 at a confidence level of 95% is 0.04694
We would utilize the t distribution in the estimation of the margin of error because the population standard deviation is unknown (and the sample size is less than 30).
Error margin = t-critical * standard deviation/square root sample size
It is given in the above question that,
Standard deviation is given as = 8.6
And, the Sample size which is given is = 22
Also, the confidence level which given is = 95%
Then the alpha will be = 100% - 95%
= 5% = 0.05
Now, the critical value, t would be = alpha / 2
= 0.05 /2 = 0.025
Also, the sample we'll consider will be = given sample size - 1 = 22 -1 = 21
To find the margin error, we'll put all the values in the formula
Error margin = t-critical * standard deviation/square root sample size
= \(\frac{0.025 * 8.6}{\sqrt{21} }\)
= 0.215 / 4.58
= 0.04694
Hence, the margin error M.E. that corresponds to a sample of size 22 with a mean of 69.3 and a standard deviation of 8.6 at a confidence level of 95% is 0.04694
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YZ is tangent to the circle at Z. Find the measure of minor arc WX
.
Answers
Step-by-step explanation:
the angle at Y = 1/2 × (arc angle WZ - arc angle ZX).
so,
42 = (arc angle WZ - 51)/2
84 = arc angle WZ - 51
135° = arc angle WZ
the arc angle WX is the remainder of the whole circle to the sum of the arc angles WZ and ZX :
arc angle WX = 360 - 135 - 51 = 174°
A group of students were in a disagreement about how to solve for x in the figure. Which
method could be used to solve? *
Use tan (30)
Use the Pythagorean Theorem
Use sin (30)
Use cos (30)
Answers
Answer:
use cos (30) because x is adjecent and 12 is the hypotenuse
Step-by-step explanation:
what is relative intrest
Answers
Relative interest refers to the comparison of interest rates between different financial instruments or investment opportunities. It allows individuals or investors to assess and evaluate the attractiveness of various options based on their potential returns.
1. Understand the basic concept: Interest is the cost of borrowing money or the return earned on invested funds. Relative interest involves comparing the interest rates of different financial instruments or investments to determine which one offers a more favorable return.
2. Identify the investment options: Start by identifying the different investment opportunities or financial instruments available. These can include savings accounts, certificates of deposit (CDs), bonds, stocks, or other investment vehicles.
3. Research interest rates: Research and gather information about the current interest rates offered by each investment option. This information can usually be found on financial websites, through financial institutions, or by consulting with a financial advisor.
4. Compare interest rates: Once you have the interest rates for each investment option, compare them side by side. Look for the differences in rates and identify which options offer higher or lower returns.
5. Assess risk and return: Consider the level of risk associated with each investment option. Higher returns often come with higher risk, so it's essential to evaluate the risk-reward tradeoff.
6. Make an informed decision: Based on the comparison of interest rates and the risk-reward assessment, make an informed decision on which investment option aligns with your financial goals and risk tolerance.
Always remember to consider your financial goals, risk tolerance, and consult with a financial advisor if needed.
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Which of the following is the solution to the compound inequality below? 5/2+x_>1/3 or x+2 < -29/6 A.x_>-2/3or x <-205/36 B. x_>-13/6 or x<_41/6 C. X_>-2/3 or x<_ 250/36 D.x_>-13/6 or x< -41/6
_< , _> means greater than or less than.
Answers
Answer:
D. x ≥ -13/2 or x < -41/6
Step-by-step explanation:
5/2+x ≥ 1/3 ⇒ x ≥ 1/3 -5/2 ⇒ x ≥ - 13/2or
x+2 < -29/6 ⇒ x < -29/6 - 2 ⇒ x < -41/6So combined the answer is:
x ≥ -13/2 or x < -41/6Option D is correct
i need help with this!
Answers
Answer:
the square root of 23 is 4.8 or if you need the longer one it's 4.79583152331
Answer:
z=529
Step-by-step explanation:
Let's solve your equation step-by-step.
√z=23
Solve Square Root.
√z=23
z=232(Square both sides)
z=529
Check answers. (Plug them in to make sure they work.)
z=529(Works in original equation)
you mix 1/2 quart of blue paint for every 1/3 quart of red paint to make 5 quart of purple paint. How much blue paint and how much red paint do you use?
Answers
The amount of blue paint and red paint that you use will be 3 quarts and 2 quarts, respectively.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
You mix 1/2 quart of blue paint for every 1/3 quart of red paint to make 5 quarts of purple paint.
Let 'x' be the amount of blue paint and 'y' be the amount of red paint. Then the equations are given as,
x / y = (1/2) / (1/3)
x / y = 3/2 ...1
x + y = 5 ...2
From equations 1 and 2, then we have
(3/2) y + y = 5
(5/2) y = 5
y = 2 quart
Then the value of 'x' is given as
x + 2 = 5
x = 3 quart
The amount of blue paint and red paint that you use will be 3 quarts and 2 quarts, respectively.
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Which system of equations has no solution
Answers
The top right has infinite solutions. So that is not the answer.
And the bottom boxes have a solution because they intersect.
Hope this helps :)
(-9,2) and (-5, -6)
find midpoint of the segment with the following endpoints
Answers
Step-by-step explanation:
here is your answer.is it helpful or not,?
Solve the compound inequality.
4x-5<-2 or x+1>3
Answers
The solution of the compound inequality is x < 3/4 or x >2.
What is inequality?In mathematics, "inequality" refers to a relationship between two expressions or values that are not equal to each other. To solve the inequality, you may multiply or divide each side by the same positive number, add the same amount to each side, take the same amount away from each side, and more. You must flip the inequality sign if you multiply or divide either side by a negative number.
Given:
A compound inequality:
4x - 5 < -2 or x + 1 > 3.
Solving inequality,
4x < -2 + 5 or x > 2
4x < 3 or x > 2.
x < 3/4 or x >2.
Therefore, the solution is x < 3/4 or x >2.
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Write a function to describe the following scenario.
A taxi driver charges a $5 flat fee to
enter the car and $0.50 per mile.
What is the total cost of a taxi ride?
y = [?]x + [?]
Answers
Answer:
y = $0.50x + $5. $7 if you went 4 miles
Step-by-step explanation:
$0.50 will be the coefficient for the variable x since the amount changes based on how many miles you ride. $5 will be the amount you are charged just for getting into the taxi and doesn't change depending on how many miles you go.
\(y=0.50x+5\)
I used x = 4 for the number of miles travelled.
\(y=0.50(4)+5\)
\(y=2+5\)
\(y=\) $7 total cost
Kelsey has a list of possible functions. Pick one of the g(x) functions below and then describe to Kelsey the key features of g(x), including the end behavior, y-intercept, and zeros.
g(x) = (x + 2)(x − 1)(x − 2)
g(x) = (x + 3)(x + 2)(x − 3)
g(x) = (x + 2)(x − 2)(x − 3)
g(x) = (x + 5)(x + 2)(x − 5)
g(x) = (x + 7)(x + 1)(x − 1)
Answers
The zeros of g(x) = (x + 2)(x − 1)(x − 2) are x = -2, 1 and 2
The y-intercept is g(0) = 4The end behaviour is \(\mathrm{as}\:x\to \:+\infty \:,\:g\left(x\right)\to \:+\infty \:,\:\:\mathrm{and\:as}\:x\to \:-\infty \:,\:g\left(x\right)\to \:-\infty \:\)Calculating the key features of the function g(x)
From the question, we have the following parameters that can be used in our computation:
The 5 functions of g(x)
To determine the key features of the function g(x), we make use of the first
g(x) = (x + 2)(x − 1)(x − 2)
So, we have
Zeros
This is when the function equals 0
(x + 2)(x − 1)(x − 2) = 0
Evaluate
x = -2, 1 and 2
The y-intercept
This is when the value of x in the function equals 0
g(0) = (0 + 2)(0 − 1)(0 − 2)
Evaluate
g(0) = 4
End behaviour
This is the behavior of the graph of the function as it approaches the ends of the x-axis
So, we have
\(\mathrm{as}\:x\to \:+\infty \:,\:g\left(x\right)\to \:+\infty \:,\:\:\mathrm{and\:as}\:x\to \:-\infty \:,\:g\left(x\right)\to \:-\infty \:\)
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What is the measure of
Answers
Solve the equation
-3x - 5 =16
What does x =??
Answers
Answer:
x=-7
Step-by-step explanation:
\(x = 21 \div - 3 \\ x = - 7\)
Answer: -7
Step-by-step explanation:
Move all terms that don't contain
x
x
to the right side and solve
Can I please get some help I’ve been stuck on this question for a while!
Answers
Using the radius of the Ferris wheel and the angle between the two positions, the time spent on the ride when they're 28 meters above the ground is 12 minutes
How many minutes of the ride are spent higher than 28 meters above the ground?The radius of the Ferris wheel is 30 / 2 = 15 meters.
The highest point on the Ferris wheel is 15 + 4 = 19 meters above the ground.
The time spent higher than 28 meters is the time spent between the 12 o'clock and 8 o'clock positions.
The angle between these two positions is 180 degrees.
The time spent at each position is 10 minutes / 360 degrees * 180 degrees = 6 minutes.
Therefore, the total time spent higher than 28 meters is 6 minutes * 2 = 12 minutes.
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Fill in the blanks to complete the rule
Answers
uh i could never, sorry
In a research experiment, the population of a colony of bacteria doubles every hour. The population, f() of the colony atter z hours can be modeled by the function () - 25.2" What values for the domain are reasonable in the given
context
Answers
Answer:99
4/2ndjsjhowkllsnlove u
I don’t wanna fail if you know the answer pls help :(
Answers
Answer:
26.64 or 27 is the answer because rounded 26.6 will turn to 27.00
Maria bought a blouse on sale for 30% off. The sale price was $28.76. What was the original price? Write an equation to model the situation and solve it. Use variable p for the original price. Round to the nearest hundredth.
Answers
Answer:
The equation is sale price=p and the original price is $41.09.
.70
Step-by-step explanation:
sale price= (1-.30)p
sale price=.70p
.70 .70
sale price=p
.70
28.76=p
.70
$41.09=p
Find the perimeter of this shape
Answers
The perimeter of the given shape as represented in the task content is; 29 cm.
What is the perimeter of the given shape?It follows from the task content that the perimeter of the given shape on the centimeter grid as required is to be determined.
Since each grid line has 1cm as it's length;
The perimeter of the shape is the sum of all side lengths of the shape;
Perimeter, P = 6+2+3+2+2+1+3+2+2+2+2+1
P = 29 cm
Hence, the perimeter of the shape is; 29 cm.
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Evaluate the expression (2b+3a)×(c to the power of 2) when a=4 , b=3 , and c=1/3 .
Answers
Answer:
2
Step-by-step explanation:
(2b+3a) x (c power 2)2*3+3*4 x 1/3 power 2
6+12 x 1/9
18 x 1/9
2 x 1 (because 9 and 18 are cutted by each other)
2
2
Step-by-step explanation:To evaluate the expression (2b+3a)×(c^2) when a=4, b=3, and c=1/3, we substitute the given values into the expression and perform the indicated arithmetic operations:
(2b + 3a) × (c^2)
= (2(3) + 3(4)) × ((1/3)^2) (substitute a=4, b=3, c=1/3)
= (6 + 12) × (1/9) (evaluate 2(3) + 3(4) and (1/3)^2)
= 18/9
= 2
Therefore, when a=4, b=3, and c=1/3, the expression (2b+3a)×(c^2) equals 2.
In triangle ABC, the size of angle B is 3 times the size of
angle A, and the size of angle C is 16° less than 6 times
the size of angle A.
Find the size of the angles.
Answers
Step-by-step explanation:
Here,
angle B = 3 x angle A
angle C = 6 x angle A - 16
now, for a triangle,
angle A + angle B + angle C = 180
or, angle A + 3 x angle A + 6 x angle A - 16 = 180
or, 10 x angle A = 196
so, angle A = 19.6 degrees
angle B = 3 x 19.6 = 58.8 degrees
angle C = 6 x 19.6 - 16 = 101.6 degrees